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Finding the Fourth Proportional to 3,329.17, 4,993.74 and 863.93

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Solution

The fourth proportional to 3,329.17, 4,993.74 and 863.93 is: 1,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,329.17 : 4,993.74 = 863.93 : x
  2. Step 2: Convert to fraction form
    3,329.17/4,993.74 = 863.93/x
  3. Step 3: Cross multiply
    3,329.17x = 4,993.74 × 863.93
  4. Step 4: Simplify right side
    3,329.17x = 4,314,254.28
  5. Step 5: Solve for x
    x = 4,314,254.28/3,329.17
  6. Step 6: Final answer
    x = 1,295.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.